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We develop theoretical methods to predict the effects of paramagnetic impurities on the microwave response of conventional spin-singlet superconductors. Our focus is on superconducting devices and resonators with low concentrations of…

Superconductivity · Physics 2025-12-24 Mehdi Zarea , J. A. Sauls

The low-energy quasiparticle states of a disordered d-wave superconductor are investigated theoretically. A class of such states, formed via tunneling between the Andreev bound states that are localized around extended impurities (and…

Superconductivity · Physics 2009-11-07 Inanc Adagideli , Daniel E. Sheehy , Paul M. Goldbart

Magnetic impurities on superconductors lead to bound states within the superconducting gap, so called Yu-Shiba-Rusinov (YSR) states. They are parity protected, which enhances their lifetime, but makes it more difficult to excite them. Here,…

We use the numerical renormalization group method (NRG) to investigate a single-impurity Anderson model with a coupling of the impurity to a superconducting host. Analysis of the energy flow shows, in contrast to previous belief, that NRG…

Strongly Correlated Electrons · Physics 2015-05-13 Theresa Hecht , Andreas Weichselbaum , Jan von Delft , Ralf Bulla

We implement an efficient strong-disorder renormalization-group (SDRG) procedure to study disordered tight-binding models in any dimension and on the Erdos-Renyi random graphs, which represent an appropriate infinite dimensional limit. Our…

Strongly Correlated Electrons · Physics 2017-08-02 Hossein Javan Mard , Jose A. Hoyos , Eduardo Miranda , Vladimir Dobrosavljevic

We propose a method to probe and control the interactions between an ensemble of magnetic impurities in a superconductor via microwave radiation. Our method relies upon the presence of sub-gap Yu-Shiba-Rusinov (YSR) states associated with…

Mesoscale and Nanoscale Physics · Physics 2019-11-20 Kamphol Akkaravarawong , Jukka I. Väyrynen , Jay D. Sau , Eugene A. Demler , Leonid I. Glazman , Norman Y. Yao

One of the remarkable features of disordered d-wave superconductors is strong sensitivity of long range properties to the microscopic realization of the disorder potential. Particularly rich phenomenology is observed for the --…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 Alexander Altland

We present a well-controlled perturbative renormalization group (RG) treatment of superconductivity from short-ranged repulsive interactions in a variety of model two dimensional electronic systems. Our analysis applies in the limit where…

Superconductivity · Physics 2015-05-20 S. Raghu , S. A. Kivelson

Quantum spin impurities coupled to superconductors are under intense investigation for their relevance to fundamental research as well as the prospects to engineer novel quantum phases of matter. Here we develop a large-$N$ mean-field…

Mesoscale and Nanoscale Physics · Physics 2025-03-12 Chen-How Huang , Alejandro M. Lobos , Miguel A. Cazalilla

We study the variation of the differential conductance $G=dj/dV$ of a normal metal wire in a Superconductor/Normal metal heterostructure with a cross geometry under external microwave radiation applied to the superconducting parts. Our…

Superconductivity · Physics 2010-07-06 E. Kandelaki , A. F. Volkov , K. B. Efetov , V. T. Petrashov

Recent microwave conductivity measurements of detwinned, high-purity, slightly overdoped YBa$_{2}$Cu$_{3}$O$_{6.993}$ crystals reveal a linear temperature dependence and a near-Drude lineshape for temperatures between 1 and 20 K and…

Superconductivity · Physics 2009-11-07 Adam C. Durst , Patrick A. Lee

We study the electronic structure near impurities in the d-density-wave (DDW) state, a possible candidate phase for the pseudo-gap region of the high-temperature superconductors. We show that the local DOS near a non-magnetic impurity in…

Strongly Correlated Electrons · Physics 2009-11-07 Dirk K. Morr

Improving the coherence of superconducting qubits is essential for advancing quantum technologies. While superconductors are theoretically perfect conductors, they consistently exhibit residual energy dissipation when driven by microwave…

Mesoscale and Nanoscale Physics · Physics 2026-05-04 Thibault Charpentier , Anton Khvalyuk , Lev Ioffe , Mikhail Feigel'man , Nicolas Roch , Benjamin Sacépé

Quantum impurity problems can be solved using the numerical renormalization group (NRG), which involves discretizing the free conduction electron system and mapping to a `Wilson chain'. It was shown recently that Wilson chains for different…

Strongly Correlated Electrons · Physics 2016-06-08 K. M. Stadler , A. K. Mitchell , J. von Delft , A. Weichselbaum

We discuss a new mechanism of microwave absorption in s- and d-wave superconductors, which arises in the presence of a dc supercurrent in the system. It produces a contribution to the ac conductivity that is proportional to the inelastic…

Superconductivity · Physics 2020-05-05 M. Smith , A. V. Andreev , B. Z. Spivak

We present measurements of the microwave surface impedance of the single-layer cuprate Tl2201, deep in the overdoped regime, with Tc ~ 25 K. Measurements have been made using cavity perturbation of a dielectric resonator at 17 discrete…

This work performs a comparative numerical study of the impurity average self-frequency $\tilde{\omega}$ in an unconventional superconducting alloy with non-magnetic impurities. Two methods are used: the Levenberg-Marquardt algorithm as a…

Superconductivity · Physics 2021-05-17 P. Contreras , Juan Moreno

Microwave reflectance probed photoconductivity (or $\mu$-PCD) measurement represents a contactless and non-invasive method to characterize impurity content in semiconductors. Major drawbacks of the method include a difficult separation of…

Applied Physics · Physics 2019-12-18 B. Gyüre-Garami , B. Blum , O. Sági , A. Bojtor , S. Kollarics , G. Csősz , B. G. Márkus , J. Volk , F. Simon

By following the conventional similarity renormalization group (SRG) expansion of the Dirac equation developed in [J.-Y. Guo, Phys. Rev. C \textbf{85}, 021302 (2012)], we work out the analytic expression of the ${1}/{M^4}$ order and verify…

Nuclear Theory · Physics 2019-05-23 Yixin Guo , Haozhao Liang

We describe and characterize a microwave setup to probe the Andreev levels of a superconducting atomic contact. The contact is part of a superconducting loop inductively coupled to a superconducting coplanar resonator. By monitoring the…

Superconductivity · Physics 2015-01-16 C. Janvier , L. Tosi , Ç. Ö. Girit , M. F. Goffman , H. Pothier , C. Urbina
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